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Finding the Fourth Proportional to 713,071.69, 984,039.23 and 411,265.69

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Solution

The fourth proportional to 713,071.69, 984,039.23 and 411,265.69 is: 567,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,071.69 : 984,039.23 = 411,265.69 : x
  2. Step 2: Convert to fraction form
    713,071.69/984,039.23 = 411,265.69/x
  3. Step 3: Cross multiply
    713,071.69x = 984,039.23 × 411,265.69
  4. Step 4: Simplify right side
    713,071.69x = 404,701,571,481.09
  5. Step 5: Solve for x
    x = 404,701,571,481.09/713,071.69
  6. Step 6: Final answer
    x = 567,546.82

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.